Improvement to permrep of fp group #5229
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Broader test of quotients.
Try to use induced permutation representation, if we cannot find easily coreless subgroup that finishes coset enumeration. This resolves gap-system#5222
hulpke
added
kind: enhancement
fingolfin
approved these changes
Dec 5, 2022
| else | ||
| # all groups of order <8 *are* 2-generated | ||
| lim:=8; | ||
| fi; | ||
| n:=Filtered(n,x->IndexNC(g,x)>=lim and Size(x)>1); | ||
| SortBy(n,x->-Size(x)); | ||
| mi:=MinimalInclusionsGroups(n); |
This was referenced Dec 5, 2022
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Use induced representation to get better degree if there is an awkward small normal subgroup. This resolves #5222
Also include minor changes to improve
MinimalGeneratingSet, using perfect groups up to order 2 million for perfect subgroups, and degree reduction when acting on subgroups.